Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Euler's Formula to Columns: Problem Solving

Euler's Formula to Columns: Problem Solving

Euler's formula is used in structural engineering to determine the buckling load of columns under various conditions. However, when dealing with systems that incorporate both rigid elements and elastic components, such as springs, the analysis requires a finer approach to determine the critical load. The problem described involves two rigid bars connected at a pivot point with a spring attached and a vertical load applied at one end.
The system comprises two vertical rigid bars, AB and BC, of...

Design of Columns under a Centric Load

Design of Columns under a Centric Load

The design of columns under centric load is a fundamental aspect of structural engineering and is critical for ensuring the stability and integrity of structures. Euler's and Secant's formulas are central to understanding and calculating the critical load and deformation behaviors of columns, providing a basis for safe and effective structural design.
Euler's formula is applicable under the assumption that the column is a perfect, straight, homogenous prism, and it is operating...

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.

Dynamic Modulus of Elasticity of Concrete

Dynamic Modulus of Elasticity of Concrete

The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...

Eccentric Loading

Eccentric Loading

Eccentric loading is a crucial concept in the study of structural engineering and mechanics, particularly when analyzing the stability and stress distribution in columns. Unlike centric loading, where the force is applied along the centroidal axis, causing uniform compression, eccentric loading occurs when a force is applied off-center. This off-center application introduces not only direct compressive stress but also bending stress, significantly influencing the column's behavior under...

Design of Columns under an Eccentric Load

Design of Columns under an Eccentric Load

Designing columns to withstand eccentric loads is a critical aspect of structural engineering, ensuring structures can support off-center loads without failure. This design process must account for the additional normal stresses introduced by eccentric loading, which can significantly influence a column's stress distribution and overall stability. An eccentric load applied to a column induces normal stresses that can be conceptualized as a combination of stresses due to an equivalent...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Optimizing the fracture resistance of clay liners through fiber content and moisture control.

Scientific reports·2025

Same author

Correction: Histone acetylation-mediated regulation of the Hippo pathway.

PloS one·2025

Same author

Therapeutic Strategies in Neurocutaneous Melanocytosis.

Anticancer research·2024

Same author

Serum levels of S-100 protein are directly proportional to the size, number, thickness and degree of cellularity of congenital melanocytic nevi.

Journal of the American Academy of Dermatology·2023

Same author

Sustainable Earthquake Resilience with the Versatile Shape Memory Alloy (SMA)-Based Superelasticity-Assisted Slider.

Sensors (Basel, Switzerland)·2022

Same author

Histone deacetylase inhibitor Vorinostat (SAHA) suppresses micropthalmia transcription factor expression and induces cell death in nevocytes from large/giant congenital melanocytic nevi.

Melanoma research·2021

Search research articles

Related Experiment Video

Updated: Jan 10, 2026

A Bending Test for Determining the Atterberg Plastic Limit in Soils

A Bending Test for Determining the Atterberg Plastic Limit in Soils

Published on: June 28, 2016

Soil spring stiffnesses for laterally loaded large diameter rigid caissons.

Abhisek Paul¹, Dipanjan Basu²

¹Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada. a33paul@uwaterloo.ca.

Scientific Reports

|November 29, 2025

Summary

This study rigorously derives soil spring stiffnesses for large diameter caissons using a continuum-based analytical framework. It introduces a five-spring model, improving analysis of caisson-soil interaction without empirical methods.

Keywords:

Caisson/well foundation Continuum Lateral load Soil-structure interaction Spring stiffness Virtual work

More Related Videos

In Situ Soil Moisture Sensors in Undisturbed Soils

In Situ Soil Moisture Sensors in Undisturbed Soils

Published on: November 18, 2022

A Protocol for Collecting and Constructing Soil Core Lysimeters

A Protocol for Collecting and Constructing Soil Core Lysimeters

Published on: June 6, 2016

Related Experiment Videos

Last Updated: Jan 10, 2026

A Bending Test for Determining the Atterberg Plastic Limit in Soils

A Bending Test for Determining the Atterberg Plastic Limit in Soils

Published on: June 28, 2016

In Situ Soil Moisture Sensors in Undisturbed Soils

In Situ Soil Moisture Sensors in Undisturbed Soils

Published on: November 18, 2022

A Protocol for Collecting and Constructing Soil Core Lysimeters

A Protocol for Collecting and Constructing Soil Core Lysimeters

Published on: June 6, 2016

Area of Science:

Geotechnical Engineering
Soil Mechanics
Structural Analysis

Background:

Lateral loading of large diameter caissons often uses empirical soil spring stiffness models.
Previous analyses neglected vertical soil displacement due to caisson rotation.
Rigid body motion in caissons requires accurate modeling of soil-caisson interaction.

Purpose of the Study:

To rigorously develop soil spring stiffnesses for laterally loaded large diameter caissons.
To incorporate three-dimensional caisson-soil interaction and vertical soil displacement.
To provide analytical equations for practicing engineers.

Main Methods:

Utilized a continuum-based analytical framework and the principle of virtual work.
Analyzed a rigid circular caisson embedded in elastic soil.
Employed an iterative algorithm to solve for caisson-soil interaction.

Main Results:

Developed a five-spring model representing caisson-soil interaction along the shaft and base.
Mathematically derived spring stiffness equations without empiricism.
Derived analytical equations for the equivalent stiffness of the caisson-soil system.

Conclusions:

The proposed analytical framework accurately models caisson-soil interaction, including vertical displacement.
The derived five-spring model and stiffness equations offer a rigorous alternative to empirical methods.
Fitted algebraic equations provide practical tools for engineers analyzing laterally loaded caissons.